Properties

Label 76440d
Number of curves $1$
Conductor $76440$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 76440d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76440.r1 76440d1 \([0, -1, 0, 15664, 168540]\) \(71997884/43875\) \(-259000979328000\) \([]\) \(314496\) \(1.4549\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76440d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 76440d do not have complex multiplication.

Modular form 76440.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + 5 q^{11} - q^{13} + q^{15} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display